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Finding the Fourth Proportional to 13,255.82, 19,884.54 and 5,462

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Solution

The fourth proportional to 13,255.82, 19,884.54 and 5,462 is: 8,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.82 : 19,884.54 = 5,462 : x
  2. Step 2: Convert to fraction form
    13,255.82/19,884.54 = 5,462/x
  3. Step 3: Cross multiply
    13,255.82x = 19,884.54 × 5,462
  4. Step 4: Simplify right side
    13,255.82x = 108,609,357.48
  5. Step 5: Solve for x
    x = 108,609,357.48/13,255.82
  6. Step 6: Final answer
    x = 8,193.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.